EXPLAIN WHAT YOU PISCOVERED ABOUT THE NATURAL BASE E

Answer:

2*2*3*5

Step-by-step explanation:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

Answer:58.8

Step-by-step explanation:

A=L*W

6*9.8=58.8

Answer:

[tex]36^6[/tex] postcodes

Step-by-step explanation:

Think of the post code as a combination lock

[?] [?] [?] [?] [?] [?]

If letters a numbers are allowed, each character can be A-Z and 0-9.

There are 26 letters, and 10 different digits

26 + 10 = 36 characters

Each block (I illustrated above) can be any of the 36 characters

If you have 2 blocks, you have a combination of

36 x 36 characters — which is the same as [tex]36^2[/tex]

With 3 blocks: [tex]36^3[/tex]

and so forth...

If your post code is made of 6 'blocks' it can be any combination of

[tex]36^6[/tex]

Answer:

30.5

Step-by-step explanation:

Let L = the larger number

Let S = the smaller number

L + S = 144

L - S = 73

L = S + 73

S + S + 73 = 144

2S = 71

S = 30.5

Answer:

Reptile, any member of the class Reptilia, the group of air-breathing vertebrates that only have:

Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.

The z-score of a measure X of a variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean.

In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29.95 - 22.58}{3}[/tex]

Z = 2.46.

Hence, all of the values fall within 2.46 standard deviations of the mean.

More can be learned about z-scores at https://brainly.com/question/24663213

Answer:

[tex]\longrightarrow: \boxed{\sf{x=-6}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, you subtract by 19 from both sides.

⇒ x+19-19=13-19

Solve.

Add/subtract the numbers from left to right.

⇒ 13-19=-6

⇒ x=-6

I hope this helps! Let me know if you have any questions.

Answer:

Step-by-step explanation:

In the question we're given with an equation that is x + 19 = 13 and we have asked to find the solution of equation that means we have to find the value of x .

Solution :

[tex] \longmapsto \: x + 19 = 13[/tex]

Subtracting 19 on both sides :

[tex] \longmapsto \: x + \cancel{19} - \cancel{19 }= 13 - 19[/tex]

On further calculations we get :

[tex] \longmapsto \: \blue{ \boxed{x = - 6}}[/tex]

Verifying :

We are verifying our answer by substituting value of x in the given equation .

Therefore our value for x is correct .

The time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The equation which gives the distance d of an object starting at rest travels given acceleration a and time t is,

[tex]d = \dfrac{1}{2}at^2[/tex]

Suppose a ball rolls down the ramp shown at the right with acceleration a = 2 ft/s2. The ramp is 12 feet long. Thus, the distance travel by ball to roll from the top of the ramp to the bottom is 12 feet. Thus, we have,

[tex]a=2\rm\; ft/s^2\\d=12\rm\; feet[/tex]

Put the values in the above equation,

[tex]d = \dfrac{1}{2}at^2\\12 = \dfrac{1}{2}(2)t^2\\t^2=12\\t=\sqrt{12}\\t=3.46\\t=\approx 4\rm\; s[/tex]

Thus, the time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.

Learn more about the equation of motion here;

https://brainly.com/question/13763238

#SPJ1

Answer:

Zach has 14 apples left.

Step-by-step explanation:

This equation is 12 - 4 + 18 - 6 + 14 - 20.

8 + 12 + 14 - 20

20 + 14 - 20

14

Answer:

10n² + 3n + 7

Step-by-step explanation:

2A - 3B = 2.( -1 + 5n² + 9) - 3.(3 - n)

= -2 + 10n² + 18 - (9 - 3n)

= 10n² + 16 -9 + 3n

= 10n² + 3n +7

Answer:

10

Step-by-step explanation:

Since it given that:

x = 7 and y = 3

We can substitute x and y:

(7-3) + 2(3)

7 - 3 = 4

4 + 2(3)

2(3) = 6

4 + 6 =10

Thus the answer is 10.

[RevyBreeze]

Answer:

[tex]10[/tex]

Step-by-step explanation:

Sorry for messing it up last time.  The format can be really weird

Step 1:  Input x and y and solve

[tex](x - 3) + 2y[/tex]

[tex](7 - 3) + 2 * 3[/tex]

[tex]4 + 6[/tex]

[tex]10[/tex]

Answer:  [tex]10[/tex]

D, sorry if wrong!!

have a good day

Answer:

D. 4u + 12

Step-by-step explanation:

Distributing the 4 to each term in the parenthesis:

4(u) + 4(3)

= 4u + 12

hope this helps :)

Step-by-step explanation:

[tex](9\pi \frac{2}{2} )\div 3\pi \\ [/tex]

[tex] \frac{9\pi}{3\pi} \\ [/tex]

[tex]3\pi[/tex]

3π is the answer

Using proportions, it is found that there are 165 students in the school.

A proportion is a fraction of a total amount.

In the school, there are n students. Of those 1/5 of 3/8, that is, 3/15 wear glasses and identified blue as their favorite color. This amount is equivalent to 33 students, hence:

3/15n = 33

n = 33 x 15/3

n = 11 x 15

n = 165.

There are 165 students in the school.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

no it is not

Step-by-step explanation:

No.  Because  right angled triangles all sides are equal.

Answer:

C) The range is the set of all real numbers greater than –4.

Step-by-step explanation:

Domain

Range

The correct statement is C, which states : the range is the set of all real numbers greater than -4.

Answer:

2.740 repeated sign over 740 (just a line)

Step-by-step explanation:

divide on sheet paper

Answer:

2/3

Step-by-step explanation:

slope formula : ( y2 - y1 ) / ( x2 - x1 ) where the x and y values are derived from points on the line

the two points can vary but i have chosen (0,0) and (3,2)

(x1,y1) = (0,0) so x1 = 0 and y1 = 0

(x2,y2) = (3,2) so x2 = 3 and y2 = 2

recall that slope = ( y2 - y1 ) / ( x2 - x1 )

plug in x1 = 0, y1 = 0, x2 = 2 and y2 = 3

slope = ( 2 - 0 ) / ( 3 - 0 )

slope = 2 / 3

Answer:

the answer is in the picture

The value of the statistic for the annual sales in Canadian dollars; C) The standardized score of the minimum annual sales

Standardized scores are defined as scores or data values that have been given a common standard. This standard is a mean of zero and a standard deviation of 1.

Now, in this question the literacy project involved comparing the annual sales of companies. Thus, the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars is the standardized score of the minimum annual sales.

The complete question is; Nyasha's financial literacy project involved comparing the annual sales of companies in Canada and companies in the US that produce software. Using the ratio of 1 CAD to 0.75 USD, she converted all annual sales from the Canadian companies into United States dollars. For which of the following will the value of the statistic for the annual sales in Canadian dollars be equal to the value of the corresponding statistic in United States dollars?

Read more about Standardized Scores at; https://brainly.com/question/4079902

#SPJ1

The final statement is: The volume of box be is equal to 8 m³

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given here: Volume of Box A= 64 m³

Let the dimensions of box  be a each

Then we have dimensions of box b are a/2 each

Therefore volume of box b is = a/2×a/2×a/2

                                                  =a³/8

                                                  = 64/8

                                                  =8

Hence, The volume of box be is equal to 8 m³

Learn more about volume here:

https://brainly.com/question/13057463

#SPJ1

Answer:

123 more muffins

Step-by-step explanation:

To find out how many to box in total you would do 14 x 12 = 168

168 - 45 = 123

Since 45 were already boxed, 123 more would be needed to make 14 boxes.

Answer:

168 = L + 2W

And you want to maximize LW.

Which means you want to maximize W (168 - 2W), or 168W - 2W^2.

To maximize that, the derivative must go to zero.

0 = 168 - 4W, or W = 42. And L = 84. Done. :-)

Step-by-step explanation:

Hey mate ,

In this particular question we have to find the volume of given objects and compare to find which has the greatest volume.

Lets Solve ,

Volume of cone :- 1/3πr²h

putting the known values ,

Volume = 1/3×3.14×5²×7 cubic ft.

Volume :- 183.1 cubic ft.

Volume of Sphere = 4/3πr³

putting the known values ,

Volume = 4/3×3.14×5³ cubic ft.

Volume = 523.33 cubic ft.

Volume of Cylinder = πr²h

putting the known values ,

Volume = 3.14×5²×7 cubic ft.

Volume = 549.5 cubic ft.

Volume of hemisphere = 2/3πr³

Putting the known values ,

Volume = 2/3×3.14×5³ cubic ft

Volume = 261.66 cubic ft.

Comparing the volume of each object , we can find that the Cylinder has the greatest volume

GHIJK ≅ UVWST

===============

Given for 1st shape:

Given for 2nd shape:

===================

WS ≅ IJ

Solve for UV:

[tex]\rightarrow \sf \dfrac{UV}{WS} =\dfrac{GH}{IJ}[/tex]

[tex]\rightarrow \sf \dfrac{UV}{18} =\dfrac{24}{24}[/tex]

[tex]\rightarrow \sf UV =18[/tex]

Solve for ST

[tex]\rightarrow \sf \dfrac{ST}{WS} =\dfrac{JK}{IJ}[/tex]

[tex]\rightarrow \sf \dfrac{ST}{18} =\dfrac{16}{24}[/tex]

[tex]\rightarrow \sf ST = 12[/tex]

Solve for VW

[tex]\sf \rightarrow \dfrac{VW}{WS} = \dfrac{HI}{IJ}[/tex]

[tex]\sf \rightarrow \dfrac{VW}{18} = \dfrac{16}{24}[/tex]

[tex]\sf \rightarrow VW = 12[/tex]

Let's see

#ST

#VW

Let p(t) be the number attendees and t be the ticket price measured in units of 10s of rupees. When the price is t = 7 (i.e. Rs70), there were p(7) = 300 people in attendance.

For each unit increase in t (i.e. for each Rs10 increase in price), p(t) is expected to fall by 20, so that

p(t + 1) = p(t) - 20

Solve for p(t). Suppose t ≥ 7. By substitution,

p(t + 1) = (p(t - 1) - 20) - 20 = p(t - 1) - 2×20

p(t + 1) = (p(t - 2) - 20) - 2×20 = p(t - 2) - 3×20

p(t + 1) = (p(t - 3) - 20) - 3×20 = p(t - 3) - 4×20

and so on, down to

p(t + 1) = p(7) - (t - 6)×20 = 420 - 20t

or

p(t) = 420 - 20 (t - 1) = 440 - 20t

With t = price per ticket (Rs/ticket) and p(t) = number of attendees = number of tickets sold, it follows that the income made from ticket sales for some fixed ticket price t would be t×p(t). If one plots p(t) in the coordinate plane, the price that maximizes income and number of attendees is such that the area of a rectangle inscribed by the line p(t) and the coordinate axes is maximized.

Let A(t) be the area of this rectangle, so

A(t) = t p(t) = 440t - 20t²

Without using calculus, complete the square:

A(t) = 440t - 20t² = 2420 - 20 (t - 11)²

This is the equation of a parabola with vertex at (11, 2420), so the optiml ticket price is Rs11, and at this price the drama club can expect an income of Rs2420.

With calculus, differentiate A with respect to t and find the critical points:

A'(t) = 440 - 40t = 0   ⇒   11 - t = 0   ⇒   t = 11

Differentiate A again and check the sign of the second derivative at this critical point:

A''(t) = -40   ⇒   A''(11) = -40 < 0

which indicates a local maximum at t = 11 of A(11) = 2420.

Answer:

  5.  ∠TSR ≅ ∠TRS = 72°

  6.  ∠ORS ≅ ∠OSR = 18°

  7.  ∠ROS = 144°

Step-by-step explanation:

Segments OT and SR can be drawn to divide the figure into similar right triangles. In these triangles, all of the smaller acute angles are congruent, and all of the larger acute angles are congruent. The smaller and larger acute angles are complementary, as they are in any right triangle.

Segment OT bisects angle T, so the smaller acute angle in each right triangle is 36°/2 = 18°.

__

∠TSR ≅ ∠TRS = 90° -18° = 72°

__

∠ORS ≅ ∠OSR = 18°

__

∠ROS = 2×∠TOS = 2×72° = 144°

Note that this is supplementary to ∠T: ∠O = 180° -36° = 144°.

Answer:

Area (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682

To determine the whether the ordered pair satisfies the equation:

     ⇒ we must plug in the values

          ⇒ since coordinates are (x,y) ⇒ (2,1)

             ⇒ there we must plug 2 into the 'x' position in the equation

                ⇒ and 1 into the 'y' position in the equation

Let's try the first equation:

   [tex]3x-y=5\\3(2)-1=5\\6-1=5\\5=5[/tex]

Let's try the second equation

   [tex]5x-2y=8\\5(2)-2(1)=8\\10-2=8\\8=8[/tex]

Thus ordered pair satisfies the following system of equations

Answer: Yes

Hope that helps!